analytic function Definition and 2 Threads

  1. S

    I Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)

    I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon...
  2. PLAGUE

    I Find f(z) given f(x, y) = u(x, y) + iv(x,y)

    I am given, $$u = e^{-x} (x sin y - y cos y)$$ and asked to find v such that, $$f(z) = u + iv$$. My book solves these problems and the answer is, $$v = e^{-x} (ysiny + x cos y) + c$$. I understand how it is done, using Cauchy-Riemann equations. Then, the book asks to find f(z). When doing that...
    • PLAGUE
    • Thread
    • analytic function Complex analysis milne-thomson rule
    • Replies: 8
    • Forum: Calculus